A twons populations is 43,425. About 125 people move out of the town each month, 200 people on the average move into town. A nearby town has population of 45,000. it has no one moving in and an average of 150 people moving away every month. In about how many months will the population of the towns be equal? Write an equation that represents this situation and solve.

Answers

Answer 1
Answer:

Answer:

After 7 months months the population of both the town will be equal.

Step-by-step explanation:

Let's assume, the population of both towns will be equal after x number of months.

Every month 125 people move out of the town and 200 people move into the town, where already 43,425 people are living. So, the population of the former town after x months is,

Every month 150 people move out of the town, where already 45,000 people are living. So, the population of the latter town after x months is,

when the population of both of the towns are same,then


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Two cylindrical containers are shown. Container A has radius r and height h and holds a maximum of 42 ounces of water. Container B has radius r and height 1.5h. What is the maximum amount of water that Container B can hold?

Answers

Volume of a cylindrical container=πr²h
Container A:
πr²h=42 ounces of water.

Countainer B.
Volume of Container B=πr²(1.5 h)=1.5(πr²h)=1.5(42 ounces of water)=63 ounces of water.

Answer: the maximum amount of water that Container B can hold is 63 ounces of water. 

Really need help!

What is the value of h(3)?

–2
–1
1
2

Answers

I believe the answer is -1

Consider two events such that P(A) = 1/3, P(B) = 4/5, and P(A ∩ B) = 4/15. Are events A and B independent events?Yes, they are independent because P(A) ⋅ P(B) ≠ P(A ∩ B)
No, they are dependent because P(A) ⋅ P(B) = P(A ∩ B)
Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)
No, they are dependent because P(A) ⋅ P(B) ≠ P(A ∩ B)

Answers

Yes, they are independent because P(A) ⋅ P(B) = P(A ∩ B)

HOW CAN YOU MAKE 7,5,6,AND 3 EQUAL 75 USING PARENTHESIS.

Answers

(7+5)*6+3=12*6+3=72+3=\boxed{75}

One possible answer is:

5((7x3)-6).

Explanation:

75 ends in 5, so it is divisible by 5. 75/5 = 15. If we can arrange 7, 6 and 3 some way to make 15, we can use this multiplied by 5.

7x3=21, and 21-6=15; this gives us what we need!

5(21-6) = 75; 21 = 3x7, so 5((3x7)-6).

Solve 3x2 + x + 10 = 0. Round solutions to the nearest hundredth.

Answers

3 x^(2) + x + 10 = 0
x = \frac{-b(+or-) \sqrt{ b^(2) - 4ac } }{2a}
x = \frac{-1(+or-) \sqrt{ 1^(2) - 4(3)(10) } }{2(3)}
: . x =  \frac{-1 +  \sqrt{-119} }{6}   OR   x = (-1 - √(-119) )/(6)

Thus the roots or the solutions to this equation are imaginary because the discriminant √(-119) is negative and a negative number is undefined when rooted. 

Box A has a volume of 32 cubic meters. Box B is similar to box A. To create box B, box A's dimensions were tripled. What is the volume of box B? a. 864 m3
b. 288 m3
c. 96 m3
d. 32 m3

Answers

The answer would be 864 m³ if the 32 volume was tripled. This is because when we are tripling the volume of the rectangle we are increasing 3 dimension, thus we will be multiplying 3 sides by the increase of  which is equal to 27. Then 32 times 32 is 864 m³

Answer:

The correct option is A.

Step-by-step explanation:

It is given that the volume of box A is 32 cubic meters.

Let dimensions of the box A are l×b×h.

It is given that the dimensions of the box B were tripled than box A. So the dimensions  of the box B are 3l×3b×3h.

The volume of box A is

V=l* b* h

32=l* b* h             ...(1)

Where, l is length, b is breadth and h is height.

The volume of box B is

V=3l* 3b* 3h

V=27* (l* b* h)

Using equation (1), we get

V=27* (32)

V=864

The volume of box B is 864 cubic meter. Therefore the correct option is A.